Abstract A 2D electron-longitudinal-acoustic-phonon interaction Hamiltonian is derived and used to calculate the ground-state energy of the acoustic polarons in two dimensions. The numerical results for the ground-state energy of the acoustic polarons in two and three dimensions are obtained. The 3D results agree with those obtained by using the Feynman path-integral approach. It is found that the critical coupling constant of the transition from the quasifree state to the self-trapped state in the 2D case is much smaller than in the 3D case for a given cutoff wave-vector. The theory has been used to judge the possibility of the self-trapping for several real materials. The results indicate that the self-trappings of the electrons in AlN and the holes in AlN and GaN are expected to be observed in 2D systems.
Received: 04 December 2006
Revised: 07 February 2007
Accepted manuscript online:
(Metal-insulator transitions and other electronic transitions)
Fund: Project supported by the Doctoral
Program Foundation of Institutions of Higher Education China (Grant
No 20040126003) and the Natural Science Foundation of Inner Mongol
of China (Grant No 200408020101).
Cite this article:
Hou Jun-Hua(侯俊华) and Liang Xi-Xia(梁希侠) On the possibility of self-trapping transition of acoustic polarons in two dimensions 2007 Chinese Physics 16 3059
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